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Finding the Third Proportional to 109,371 and 156,400.50

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Solution

The third proportional to 109,371 and 156,400.50 is: 223,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,371 : 156,400.50 = 156,400.50 : x
  2. Step 2: Convert to fraction form
    109,371/156,400.50 = 156,400.50/x
  3. Step 3: Cross multiply
    109,371x = 156,400.50 × 156,400.50
  4. Step 4: Simplify right side
    109,371x = 24,461,116,400.25
  5. Step 5: Solve for x
    x = 24,461,116,400.25/109,371
  6. Step 6: Final answer
    x = 223,652.67

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.